Dengue in Cape Verde: Vector Control and Vaccination

Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.

doi:10.1080/08898480.2013.831711

Cited by 21 publications

(20 citation statements)

References 27 publications

(25 reference statements)

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“…Further simulations examined the amount of controls, which would have to be executed to entirely prevent an outbreak. As found in previous studies,() increasing the amount of adulticide has the greatest impact on the number of infected individuals. Again, this result could be confirmed.…”

Section: Numerical Simulationsupporting

confidence: 80%

“…A theoretical analysis (adapting and generalizing results of Dumont et al() and Rodrigues et al()) of the system of differential equations is conducted in the following closed set:

normalΩ = true{false(S_{h}, V_{h}, I_{h}, R_{h}, A_{m}, S_{m}, I_{m} false) \in {double-struckR}_{+}^{7} false| S_{h} + V_{h} + I_{h} + R_{h} = N_{h}, A_{m} \leq k N_{h}, S_{m} + I_{m} \leq m N_{h} true} .

The sum of individuals in compartments that depict the human population must not exceed the total human population. Moreover, the amount of larvae and adult vectors in the compartments is limited, which is referred to as the total human population.…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…A theoretical analysis (adapting and generalizing results of Dumont et al 22,23 and Rodrigues et al 27,28 ) of the system of differential equations is conducted in the following closed set:…”

Section: The Equilibria and The Basic Reproduction Numbermentioning

confidence: 99%

See 2 more Smart Citations

Optimal vaccination and control strategies against dengue

Fischer

Chudej

Pesch

2019

Math Methods in App Sciences

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This article focuses on the mathematical modelling of a disease outbreak of dengue fever. A cost‐efficient fighting strategy, which simultaneously uses vaccination, application of insecticides to adult and aquatic mosquitoes, and an approach to decrease the number of man‐made breeding places for the mosquitoes, is computed using optimal control. Vaccination includes a paediatric vaccination and an imperfect random mass vaccination with waning immunity.

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Section: Numerical Simulationsupporting

confidence: 80%

“…A theoretical analysis (adapting and generalizing results of Dumont et al() and Rodrigues et al()) of the system of differential equations is conducted in the following closed set:

normalΩ = true{false(S_{h}, V_{h}, I_{h}, R_{h}, A_{m}, S_{m}, I_{m} false) \in {double-struckR}_{+}^{7} false| S_{h} + V_{h} + I_{h} + R_{h} = N_{h}, A_{m} \leq k N_{h}, S_{m} + I_{m} \leq m N_{h} true} .

Section: The Mathematical Modelmentioning

confidence: 99%

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Optimal vaccination and control strategies against dengue

Fischer

Chudej

Pesch

2019

Math Methods in App Sciences

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“…Rich literature investigating the dengue disease from the mathematical point of view exist. Some run simulations on specific regions of the globe [20,24,31,32,33] and others make studies using the effects of the disease spread considering biological issues [14,28,30,34,35]. In this paper we aim to study a preview scenario for Madeira Island in the case of a second outbreak with two serotypes circulating.…”

Section: Introductionmentioning

confidence: 99%

Coexistence of two dengue virus serotypes and forecasting for Madeira Island

Rocha¹,

Rodrigues²,

Monteiro³

et al. 2015

Operations Research for Health Care

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The first outbreak of dengue occurred in Madeira Island on 2012, featuring one virus serotype. Aedes aegypti was the vector of the disease and it is unlikely that it will be eliminated from the island. Therefore, a new outbreak of dengue fever can occur and, if it happens, risk to the population increases if two serotypes coexist. In this paper, mathematical modeling and numerical simulations are carried out to forecast what may happen in Madeira Island in such scenario.

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“…Its population is of around 506,000 residents with a sizeable diaspora community across all the world, outnumbering the inhabitants on the islands. Such facts make Cape Verde an important case study, with global implications [21].…”

Section: Introductionmentioning

confidence: 99%

A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde

Silva

Torres

2017

Ecological Complexity

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We propose a new mathematical model for the transmission dynamics of the human immunodeficiency virus (HIV). Global stability of the unique endemic equilibrium is proved. Then, based on data provided by the "Progress Report on the AIDS response in Cape Verde 2015", we calibrate our model to the cumulative cases of infection by HIV and AIDS from 1987 to 2014 and we show that our model predicts well such reality. Finally, a sensitivity analysis is done for the case study in Cape Verde. We conclude that the goal of the United Nations to end the AIDS epidemic by 2030 is a nontrivial task.

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Dengue in Cape Verde: Vector Control and Vaccination

Cited by 21 publications

References 27 publications

Optimal vaccination and control strategies against dengue

Optimal vaccination and control strategies against dengue

Coexistence of two dengue virus serotypes and forecasting for Madeira Island

A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde

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